{
  "id": "1709.04119",
  "version": "v1",
  "published": "2017-09-13T03:09:37.000Z",
  "updated": "2017-09-13T03:09:37.000Z",
  "title": "Global strong solutions to the 3D full compressible Navier-Stokes system with vacuum in a bounded domain",
  "authors": [
    "Jishan Fan",
    "Fucai Li"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "In this short paper we establish the global well-posedness of strong solutions to the 3D full compressible Navier-Stokes system with vacuum in a bounded domain $\\Omega\\subset \\mathbb{R}^3$ by the bootstrap argument provided that the viscosity coefficients $\\lambda$ and $\\mu$ satisfy that $7\\lambda>9\\mu$ and the initial data $\\rho_0$ and $u_0$ satisfy that $\\|\\rho_0\\|_{L^\\infty(\\Omega)}$ and $\\|\\rho_0|u_0|^5\\|_{L^1(\\Omega)}$ are sufficient small.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-09-13T03:09:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q30",
      "35Q35",
      "76N10"
    ],
    "keywords": [
      "3d full compressible navier-stokes system",
      "global strong solutions",
      "bounded domain",
      "viscosity coefficients"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}